The tens digit of a two-digit number is 3 less than the units digits. The number is four times the sum of the digits. find the number.

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To find the number, let's break down the given information and solve step by step.

Let's assume the tens digit is 'x' and the units digit is 'y'. Based on the first statement, we can form the equation: x = y - 3.

The second statement states that the number is four times the sum of its digits. The sum of the digits is x + y. Therefore, we can form the second equation: 10x + y = 4(x + y).

Now, we have a system of two linear equations:
x = y - 3 ---(1)
10x + y = 4(x + y) ---(2)

Let's solve the system of equations to find the values of x and y.

From equation (1), substitute the value of x in terms of y into equation (2):
10(y - 3) + y = 4(y - 3 + y)

Simplifying the above equation:
9y - 30 = 8y - 24

Bringing like terms to one side:
9y - 8y = 30 - 24
y = 6

Now that we know the value of y is 6, we can substitute this value back into equation (1) to find the value of x:
x = 6 - 3
x = 3

Therefore, the number is 10x + y, which is:
10(3) + 6 = 30 + 6 = 36.

So, the number is 36.